What is (-4)^3-(-7)^2-(-5)^0 ?

The solution to (-4)^3-(-7)^2-(-5)^0 is -114

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(-4)^3-(-7)^2-(-5)^0

(- 4)^{3} - (- 7)^{2} - (- 5)^{0}

- 114

Solution steps

(- 4)^{3} - (- 7)^{2} - (- 5)^{0}

Follow the PEMDAS order of operations

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= - 64 - (- 7)^{2} - (- 5)^{0}

Calculate exponents

(- 7)^{2} : 49

(- 7)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 7)^{2} = 7^{2} = 49

= 49

= - 64 - 49 - (- 5)^{0}

Calculate exponents

(- 5)^{0} : 1

(- 5)^{0}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 5)^{0} = 5^{0} = 1

= 1

= - 64 - 49 - 1

Add and subtract (left to right)

- 64 - 49 - 1 : - 114

- 64 - 49 - 1

- 64 - 49 = - 113

= - 113 - 1

- 113 - 1 = - 114

= - 114

= - 114

- 4 - 1 + 5

(1 \frac{3}{8} - \frac{1}{3}) \div 5

2^{3} \times 3 \times 5

8^{2} + 10 \cdot 3

1 + \frac{21}{20} - \frac{13}{10}